Geodesic
A remark on the homotopical dimension of some moduli spaces of stable Riemann surfaces
Journal of the European Mathematical Society, Tome 10 (2008) no. 1, pp. 231-241 Cet article a éte moissonné depuis la source EMS Press

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Using a result of Harer, we prove certain upper bounds for the homotopical/cohomological dimension of the moduli spaces of Riemann surfaces of compact type, of Riemann surfaces with rational tails and of Riemann surfaces with at most k rational components. These bounds would follow from conjectures of Looijenga and Roth-Vakil.
DOI : 10.4171/jems/109
Classification : 32-XX, 55-XX, 00-XX
Keywords: Reaction-diffusion-convection equation, selfsimilar solution, blow-up on the boundary 
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     author = {Gabriele Mondello},
     title = {A remark on the homotopical dimension of some moduli spaces of stable {Riemann} surfaces},
     journal = {Journal of the European Mathematical Society},
     pages = {231--241},
     year = {2008},
     volume = {10},
     number = {1},
     doi = {10.4171/jems/109},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/109/}
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Gabriele Mondello. A remark on the homotopical dimension of some moduli spaces of stable Riemann surfaces. Journal of the European Mathematical Society, Tome 10 (2008) no. 1, pp. 231-241. doi: 10.4171/jems/109

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